<<<I had a similar problem that was somehow caused by the system running
out of Freon>>

Lets read this direct quote again John.

"The system was out of freon"

Now, while your explanation is half true, as the AC system is self
levelling.
Your low on charge on the the suction side your low on the pressure side
too, and unfortunately there is no way around that.
You have pressure on one side you have pressure on the other.
You cannot overload, or underload either side unless of course you have
a failing, and plugged expansion valve orifice, a internally collapsed
hose, or a plugged up dryer.

So for a evaporator to be freezing up is due to a queefed out part not a
undercharged system.

I thought for sure you would know this.